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121124421031 = 1771131773991
BaseRepresentation
bin111000011001110010…
…0111111110110100111
3102120122100222010011211
41300303210333312213
53441030322433111
6131351020412251
711515401406555
oct1606344776647
9376570863154
10121124421031
114740663a2a9
121b5843a7087
13b564138863
145c10800bd5
15323da62521
hex1c3393fda7

121124421031 has 32 divisors (see below), whose sum is σ = 131350450176. Its totient is φ = 111279168000.

The previous prime is 121124420983. The next prime is 121124421049. The reversal of 121124421031 is 130124421121.

It is a cyclic number.

It is not a de Polignac number, because 121124421031 - 27 = 121124420903 is a prime.

It is a super-2 number, since 2×1211244210312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 121124420993 and 121124421011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121124421091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 122223946 + ... + 122224936.

It is an arithmetic number, because the mean of its divisors is an integer number (4104701568).

Almost surely, 2121124421031 is an apocalyptic number.

121124421031 is a deficient number, since it is larger than the sum of its proper divisors (10226029145).

121124421031 is a wasteful number, since it uses less digits than its factorization.

121124421031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1983.

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 121124421031 its reverse (130124421121), we get a palindrome (251248842152).

The spelling of 121124421031 in words is "one hundred twenty-one billion, one hundred twenty-four million, four hundred twenty-one thousand, thirty-one".

Divisors: 1 17 71 131 773 991 1207 2227 9301 13141 16847 54883 70361 101263 129821 158117 766043 933011 1196137 1721471 2206957 7189673 9217291 13022731 54389053 100351633 122224441 156693947 924613901 1705977761 7124965943 121124421031